Isolating Variable Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
Solve A=12bhA = \frac{1}{2}bh for hh.

Solution

  1. 1
    Multiply both sides by 2: 2A=bh2A = bh.
  2. 2
    Divide both sides by bb: h=2Abh = \frac{2A}{b}.
  3. 3
    Now hh is isolated in terms of AA and bb.

Answer

h=2Abh = \frac{2A}{b}
Isolating a variable in a formula (literal equation) follows the same rules as solving a regular equation—use inverse operations to get the target variable alone.

About Isolating Variable

Rearranging an equation by applying inverse operations until the variable stands alone on one side.

Learn more about Isolating Variable →

More Isolating Variable Examples

Example 1 easy

Isolate [formula] in [formula].

Example 3 medium

Solve for y: 3(2y - 4) + 5 = 2y + 9

Example 4 easy

Isolate [formula] in [formula].

Example 5 hard

Solve [formula] for [formula].

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